AREA OF TRAPEZOID WORKSHEET

Find the area of each figure

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

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Problem 8 :

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Problem 9 :

Trapezoid: bases 22.8 mm and 19.7 mm, height 36mm

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Problem 10 :

Trapezoid: bases 5 ft and 3.5 ft, height 7 ft

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Problem 11 :

Find x for each trapezium.

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Problem 12 :

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Problem 13 :

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Problem 14 :

Mr Taylor keeps chickens in the field shown. Each chicken needs 3m². What is the maximum number of chickens he can keep in the field?

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Problem 15 :

The trapezium and the triangle have the same area. Calculate the height of the triangle

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Problem 1 :

A parking lot is constructed in the shape of a parallelogram. What is the area of the parking lot?

Solution

Problem 2 :

For a school dance, a section of the gymnasium has been designated as the dance floor. Ms. Picciuto needs to determine the area of the dance floor so she will know how many students can dance at one time. What is the area of the dance floor?

Solution

Problem 3 :

The triangular swimming pool shown is surrounded by a concrete patio. Find the area of the patio. Round to the nearest tenth if necessary.

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Problem 4 :

Sherice plays the bass in a garage band. Sherice’s parents let her and her friends use a section of their garage in the shape of a parallelogram for rehearsals. How much space in square feet does Sherice’s band have to practice in?

Solution

Problem 5 :

A 7-foot by 3-foot doorway is to be cut into the trapezoid shaped wall shown. What is the area of the wall, without the doorway?

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Problem 6 :

The wall in problem 5 is to be painted. If one can of paint covers 110 square feet, how many cans of paint will be needed if only one coat of paint is applied?

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Problem 7 :

Find the missing measurements for the parallelogram.

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Problem 8 :

Find the area of compound shape

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Problem 9 :

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Problem 10 :

Kasia wants someone to paint the side of her house. It looks like below.

a) What is the area of the side of the house ?

b) Danilo charges $4.50 per square meter for painting. How much will Danilo charge for painting the side of the house ?

Solution

Problem 11 :

Shown is a rectangular garden. There is a flowerbed in the shape of a trapezium. What percentage of the garden does the flowerbed cover?

Solution

Find x.

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

Problem 5 :

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Problem 6 :

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Problem 7 :

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Problem 8 :

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Problem 9 :

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Problem 10 :

You can use a trapezoid to approximate the shape of Scott County, Virginia. The population is about 23,200. About how many people are there per square mile?

Solution

Problem 11 :

What is the area of the shaded figure shown below?

a) 32 units²         b) 40 units²       c) 44 units²      d) 56 units²

Solution

Problem 1 :

A trapezoid has an area of 60 cm² and its height is 6 cm and one base is 8 cm. What is the other base length?

Solution

Problem 2 :

If a trapezoid has an area of 65 ft² and the lengths of the bases are 12 ft and 14 ft, find the height. 

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Problem 3 :

If a trapezoid has an area of 180 m² and its height is 12 m and one base is 20 m, find the other base length.

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Problem 4 :

The area of a trapezoid is 625 ft² and its height is 25 ft. If one base of the trapezoid is 15 ft, what is the other base length?.

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Problem 5 :

The base lengths of a trapezoidal tabletop are 6 feet and 8 feet. The height is 5 feet. What is the area of the tabletop?

Solution

Problem 6 :

The Pentagon in Arlington, Virginia, is the headquarters of the U.S. Department of Defense.

a. Find the perimeter of the Pentagon.

b. A pentagon is made of a triangle and a trapezoid. The height of the triangle shown is about 541 feet, and the height of the trapezoid shown is about 876 feet. Estimate the land area of the Pentagon.

Solution

Problem 7 :

How much material do you need to make two back pockets?

Solution

Problem 8 :

In a grid of the exhibits at a zoo, the vertices of the giraffe exhibit are E (0, 90), F (60, 90), G (100, 30), and H (0, 30). The coordinates are measured in feet. What is the area of the giraffe exhibit?

Solution